103 Light containing a mixture of two wavelengths, 500 and 600 nm, is incident normally on a diffraction grating. It is desired (1) that the first and second maxima for each wavelength appear at 0 ≤ 30°, (2) that the dispersion be as high as possible, and (3) that the third order for the 600 nm light be a missing order. (a) What should be the slit separation? (b) What is the smallest individual slit width that can be used? (c) For the values calculated in (a) and (b) and the light of wavelength 600 nm, what is the largest order of maxima produced by the grating?

College Physics
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Chapter24: Wave Optics
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Problem 49P: Light of wavelength 5.00 102 nm is incident normally on a diffraction grating. If the third-order...
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103 Light containing a mixture of two wavelengths, 500 and
600 nm, is incident normally on a diffraction grating. It is desired
(1) that the first and second maxima for each wavelength appear at
0 ≤ 30°, (2) that the dispersion be as high as possible, and (3) that
the third order for the 600 nm light be a missing order. (a) What
should be the slit separation? (b) What is the smallest individual
slit width that can be used? (c) For the values calculated in (a) and
(b) and the light of wavelength 600 nm, what is the largest order of
maxima produced by the grating?
Transcribed Image Text:103 Light containing a mixture of two wavelengths, 500 and 600 nm, is incident normally on a diffraction grating. It is desired (1) that the first and second maxima for each wavelength appear at 0 ≤ 30°, (2) that the dispersion be as high as possible, and (3) that the third order for the 600 nm light be a missing order. (a) What should be the slit separation? (b) What is the smallest individual slit width that can be used? (c) For the values calculated in (a) and (b) and the light of wavelength 600 nm, what is the largest order of maxima produced by the grating?
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